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From: Mikko <mikko.levanto@iki.fi>
Newsgroups: sci.logic
Subject: Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)
Date: Mon, 2 Dec 2024 10:41:34 +0200
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On 2024-12-01 10:55:15 +0000, WM said:

> On 01.12.2024 11:17, Mikko wrote:
>> On 2024-11-27 11:10:51 +0000, WM said:
>> 
>>> On 27.11.2024 10:33, Mikko wrote:
>>>> On 2024-11-26 11:07:57 +0000, WM said:
>>>> 
>>>>> On 26.11.2024 10:09, Mikko wrote:
>>>>>> On 2024-11-25 14:38:13 +0000, WM said:
>>>>> 
>>>>>>> The simple example contradicts a bijection between the two sets 
>>>>>>> described above.
>>>>>> 
>>>>>> What does "contradicts a bijection" mean?
>>>>>> 
>>>>> It shows that the mapping claimed to be a bijection is not a bijection.
>>>> 
>>>> If so, no bijection is contradicted.
>>> 
>>> The possibility of a bijection between the sets  ℕ = {1, 2, 3, ...} and 
>>> D = {10n | n ∈ ℕ} is contradicted.
>> 
>> No, it is not. You merely deny it, disregarding obvious facts.
> 
> Obvious is that for every interval (0, n] the relative covering is 
> 1/10, and that there are no further black hats beyond all natnumbers n.

Irrelevant to everything quoted above.

-- 
Mikko